手法を比較

	ベイズ統計的プロセス管理	ベイズ流実験計画法
分野	実験計画法	実験計画法
系統	Process / pipeline	Process / pipeline
提唱年	1950s (foundations); formalized 1990s–2000s	1956 (foundational); formalized 1970s–1990s
提唱者	Various (Girshick & Rubin 1952 early signal detection; Menzefricke 2002 Bayesian control chart framework)	Lindley (1956); Chaloner & Verdinelli (1995) landmark review
種類	Bayesian process monitoring technique	Bayesian optimal experimental design
原典	Menzefricke, U. (2002). On the evaluation of control chart factors for monitoring the process mean and variance. Journal of Quality Technology, 34(2), 167–178.	Chaloner, K., & Verdinelli, I. (1995). Bayesian Experimental Design: A Review. Statistical Science, 10(3), 273–304.
別名	Bayesian SPC, Bayesian process monitoring, B-SPC, Bayesian control charting	Bayesian DOE, Bayesian optimal design, Bayesian experimental design, BDE
関連	5	3
概要	Bayesian Statistical Process Control (Bayesian SPC) extends classical SPC by replacing fixed, frequentist control limits with a probabilistic framework that incorporates prior knowledge about the process. Rather than waiting for a run of points to exceed a pre-set 3-sigma boundary, Bayesian SPC continuously updates the probability that the process has shifted given the incoming data, enabling earlier and more informed detection of out-of-control states while formally accounting for uncertainty in process parameters.	Bayesian design of experiments selects experimental runs by maximising a utility function — typically the expected information gain — computed over prior beliefs about model parameters. Unlike classical design, which optimizes algebraic criteria such as D-optimality under fixed assumptions, Bayesian DOE incorporates prior knowledge and uncertainty about the system, yielding designs that are optimal in expectation across all plausible parameter values.